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In this paper we obtain an inequality on the unit disc B in the plane, which improves the classical Moser-Trudinger inequality and the classical Hardy inequality at the same time.
A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues
eigenvalues Hodge de Rham Laplacian Universal inequalities
2009/6/30
In this paper, we derive ”universal” inequalities for the sums of eigenvalues of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of eigenvalues of the Kohn Laplacian on the Heisenberg...